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Finding the Fourth Proportional to 32,919.80, 49,391.22 and 9,547.64

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Solution

The fourth proportional to 32,919.80, 49,391.22 and 9,547.64 is: 14,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919.80 : 49,391.22 = 9,547.64 : x
  2. Step 2: Convert to fraction form
    32,919.80/49,391.22 = 9,547.64/x
  3. Step 3: Cross multiply
    32,919.80x = 49,391.22 × 9,547.64
  4. Step 4: Simplify right side
    32,919.80x = 471,569,587.72
  5. Step 5: Solve for x
    x = 471,569,587.72/32,919.80
  6. Step 6: Final answer
    x = 14,324.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.